报告题目：Recruitment Dynamics of social insect colonies

报告人：邱志鹏教授（南京理工大学）

报告时间：2025年6月2日上午 10:40-11:20

报告地点：数学大楼912报告厅

参加人员：教师、研究生、本科生

报告摘要: Recruitment plays a vital role in the ecological and evolutionary successes of social insect colonies. In this paper, we formulate a four-compartment model and its simplified version to explore how we should model the recruitment dynamics of workers in social insect colonies properly. Our four-compartment model has the components of the unalarmed patrollers, the alarmed patrollers, the alarmed recruiters, and the available workers, while its simplified version has three components where we combine the unalarmed patrollers and the alarmed patrollers into the patrollers. We perform complete mathematical and bifurcation analyses on both the full system and its simplified system. We have many interesting findings, including that (i) the simplified three-compartment system has only simple equilibrium dynamics, i.e., no periodic and chaotic dynamics; (ii) the four compartment system has very complex dynamics; for example, it can have up to three subcritical Hopf bifurcations, two supercritical Hopf bifurcations, two limit point bifurcations, and a fold bifurcation of the limit cycle. Those important results provide theoretical guidance for modeling and studying recruitment dynamics of social insect colonies: It is critical to have proper compartments for biological systems as the number of compartments could lead to totally different dynamics, and hence affect policy-making. This work is done jointly with Tao Feng and Yun Kang.

报告人简介： 邱志鹏，南京理工大学数学与统计学院教授、博士生导师。主要从事常微分方程、动力系统与生物数学的研究工作，主持国家自然科学基金4项，国家自然科学基金国际合作基金1项，教育部留学回国基金1项，参加国家自然科学基金面上项目2项和江苏省自然科学基金青年项目1项，目前已在Bull. Math. Biol., Math. Biosci., J. Diff. Equs., SIAM J. Appl. Math., J. Math. Biol., J. Theor. Biol.等期刊上发表论文多篇，曾先后访问过美国Purdue大学、Florida大学，意大利Trento大学、加拿大York大学和Alberta大学。